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Finding the Third Proportional to 167,040 and 351,576

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Solution

The third proportional to 167,040 and 351,576 is: 739,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,040 : 351,576 = 351,576 : x
  2. Step 2: Convert to fraction form
    167,040/351,576 = 351,576/x
  3. Step 3: Cross multiply
    167,040x = 351,576 × 351,576
  4. Step 4: Simplify right side
    167,040x = 123,605,683,776
  5. Step 5: Solve for x
    x = 123,605,683,776/167,040
  6. Step 6: Final answer
    x = 739,976.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.